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Simplifying -10 + 1z + -1 = 7z + -5 Reorder the terms: -10 + -1 + 1z = 7z + -5 Combine like terms: -10 + -1 = -11 -11 + 1z = 7z + -5 Reorder the terms: -11 + 1z = -5 + 7z Solving -11 + 1z = -5 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -11 + 1z + -7z = -5 + 7z + -7z Combine like terms: 1z + -7z = -6z -11 + -6z = -5 + 7z + -7z Combine like terms: 7z + -7z = 0 -11 + -6z = -5 + 0 -11 + -6z = -5 Add '11' to each side of the equation. -11 + 11 + -6z = -5 + 11 Combine like terms: -11 + 11 = 0 0 + -6z = -5 + 11 -6z = -5 + 11 Combine like terms: -5 + 11 = 6 -6z = 6 Divide each side by '-6'. z = -1 Simplifying z = -1
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